Extensions 1→N→G→Q→1 with N=C₃xC₁₂ and Q=C₂

Direct product G=NxQ with N=C₃xC₁₂ and Q=C₂

		d	ρ	Label	ID
C₆xC₁₂		72		C6xC12	72,36

Semidirect products G=N:Q with N=C₃xC₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂):₁C₂ = C₁₂:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	36		(C3xC12):1C2	72,33
(C₃xC₁₂):₂C₂ = C₃xD₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	24	2	(C3xC12):2C2	72,28
(C₃xC₁₂):₃C₂ = S₃xC₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	24	2	(C3xC12):3C2	72,27
(C₃xC₁₂):₄C₂ = C₄xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	36		(C3xC12):4C2	72,32
(C₃xC₁₂):₅C₂ = D₄xC₃²	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	36		(C3xC12):5C2	72,37

Non-split extensions G=N.Q with N=C₃xC₁₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₁₂).₁C₂ = C₃²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	72		(C3xC12).1C2	72,31
(C₃xC₁₂).₂C₂ = C₃xDic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	24	2	(C3xC12).2C2	72,26
(C₃xC₁₂).₃C₂ = C₃xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	24	2	(C3xC12).3C2	72,12
(C₃xC₁₂).₄C₂ = C₃²:₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	72		(C3xC12).4C2	72,13
(C₃xC₁₂).₅C₂ = Q₈xC₃²	φ: C₂/C₁ → C₂ ⊆ Aut C₃xC₁₂	72		(C3xC12).5C2	72,38

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